Saying conditions at Pennsylvania Station in New York have reached a crisis, and that planned track closings would lead to “a summer of agony,” Gov. Andrew M. Cuomo appealed to President Trump on Sunday to recognize the situation as an emergency and provide funding for construction and transportation alternatives for commuters.

In a letter to the president, Mr. Cuomo also called for the federal government to facilitate and help finance a long-term solution to the station’s troubles. Saying that he did not think that Amtrak, which owns the station, should continue to operate it, he suggested that another entity, possibly the Port Authority of New York and New Jersey or a private terminal operator, should take over the construction and management of the station.

And he urged the president to finance a bundle of infrastructure improvements for the region, including a new train tunnel under the Hudson River between New York and New Jersey, the restoration of Penn Station and the creation of a train hall in the James A. Farley Post Office Building. Mr. Cuomo has proposed creating a new hall for Amtrak and the Long Island Rail Road in the post office building, which is across Eighth Avenue from Penn Station.

“While this is not a hurricane or flood, it will affect as many people and businesses with dire consequences,” Mr. Cuomo wrote of conditions at Penn Station.

Lindsay E. Walters, a White House spokeswoman, confirmed in an email that the White House had received the letter and said, “We look forward to continuing conversations with communities across America about the importance in improving our nation’s infrastructure.”

In his letter, Mr. Cuomo seemed to recognize that commuters are deeply frustrated and are dreading further disruptions this summer. After two derailments, Amtrak said it would close some of the station’s 21 tracks for two extended periods this summer, from July 7 to July 25 and from Aug. 4 to Aug. 28, to make repairs. Amtrak and the two commuter railroads that use the station, the Long Island Rail Road and New Jersey Transit, are drawing up schedules that will reduce service during rush hours by as much as 20 percent; those revised schedules are expected to be released this week.

Mr. Cuomo warned in his letter that the reduced capacity would create a domino effect, swamping alternative routes and means of transportation, and he asked Mr. Trump for assistance in providing options such as high-speed ferries to the city from Long Island.

This month, Mr. Cuomo and Gov. Chris Christie of New Jersey sent a letter to Amtrak’s chief executive, Charles W. Moorman, calling for management of the station to be turned over to a private operator. Mr. Cuomo’s suggestion in his letter that the Port Authority take over Penn Station is new.

Amtrak has proposed its own plan for a private operator to oversee the station’s concourse, but it wants to continue to oversee the tracks.

Christina E. Leeds, a spokeswoman for Amtrak, said in a statement that Amtrak agreed with Mr. Cuomo that more funding was badly needed for Penn Station and the Hudson River tunnel.

”But,” she added, “changes in management and private-sector expertise can’t make up for the billions that should have been invested to create the basic capacity and performance that commuters deserve. There’s no outsourcing the leadership and responsibility needed to get this vital job done and Amtrak is stepping up to do everything we can to improve our part of this situation.”

Tom Wright, the president of the Regional Plan Association, a transportation policy group, said he found Mr. Cuomo’s proposal intriguing.

“I think in general Cuomo’s right that kind of creating some new entity to oversee Penn Station is the right direction to go,” he said. He said he could see something akin to the Battery Park City Authority or the 42nd Street Development Project being created to operate the station and oversee its improvement. He said that modernizing the station was critical.

Mr. Cuomo’s letter also alluded to the deterioration of the city’s subway service, saying that this summer’s track closings at Penn Station would come “on top of a 100-year-old M.T.A. subway system, which as you know, has been underfunded and overburdened for decades and is already beyond its limits.”

Mr. Cuomo had been largely silent recently amid an increase in subway delays, at one point suggesting that he had limited control over the Metropolitan Transportation Authority, the state-run agency that oversees the subway. Those comments drew criticism from Mayor Bill de Blasio on Friday.

In his letter to President Trump, Mr. Cuomo seemed to respond to the public distress over subway service, saying that he would be calling on the authority to find new ways to accelerate its long-term capital plan and on local governments to assist in funding that plan.

Mr. Wright said that it was unclear what Mr. Cuomo planned to do about the subways, but he hoped that he would seek new funding sources.

“We want to see him lead here, and there’s an opportunity for him to be the guy who fixes this and steps up,” he said. “But I have no idea what’s on the table.”

A version of this article appears in print on , on Page A21 of the New York edition with the headline: Cuomo Seeks Trump’s Help With Repairs At Penn Station. Order Reprints | Today’s Paper | Subscribe